| Preface |
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xi | |
| 1 Introduction |
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1 | (18) |
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1.1 Dense Plasmas in Nature |
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1 | (6) |
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1.1.1 Astrophysical Dense Plasmas |
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2 | (4) |
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1.1.2 Dense Plasmas in Laboratories |
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6 | (1) |
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7 | (3) |
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8 | (1) |
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1.2.2 Electron Liquids at Metallic Densities |
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9 | (1) |
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1.3 Consequences on the Coulomb Interaction |
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10 | (9) |
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1.3.1 Scattering by Coulomb Forces |
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10 | (1) |
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11 | (2) |
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1.3.3 The lon-Sphere Model |
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13 | (2) |
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15 | (2) |
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1.3.5 Collective Motion and Individual-Particles Behavior |
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17 | (2) |
| 2 Fundamentals |
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19 | (20) |
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2.1 Density-Fluctuation Excitations |
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19 | (4) |
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2.1.1 System of Identical Particles |
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19 | (2) |
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2.1.2 Structure Factors and Correlation Energy |
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21 | (1) |
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2.1.3 System of Electrons at Metallic Densities |
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22 | (1) |
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2.2 Dielectric Formulation |
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23 | (9) |
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2.2.1 Density-Density Response Functions |
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24 | (1) |
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2.2.2 Correlations, Radial Distributions, and Statistical Thermodynamics |
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25 | (1) |
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2.2.3 Spin-Density Response |
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26 | (1) |
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2.2.4 The Hartree-Fock Approximation |
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26 | (1) |
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2.2.5 The Random-Phase Approximation |
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27 | (1) |
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2.2.6 Collective versus Individual-Particles Aspects of Fluctuations |
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28 | (1) |
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2.2.7 Strong Coupling Effects |
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29 | (3) |
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2.3 Density-Functional Theory |
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32 | (4) |
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2.3.1 Kohn-Sham Self-Consistent Equations |
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32 | (2) |
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2.3.2 Thermodynamic Potentials |
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34 | (2) |
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2.4 Computer Simulation Methods |
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36 | (3) |
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2.4.1 Monte Carlo Approaches |
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36 | (1) |
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2.4.2 Molecular Dynamics Simulations |
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36 | (1) |
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37 | (2) |
| 3 Scattering of Electromagnetic Waves |
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39 | (14) |
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3.1 Scattering by Individual Particles |
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39 | (3) |
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3.1.1 Cross-Section of Thomson Scattering |
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40 | (1) |
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40 | (2) |
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3.2 Incoherent Scattering by Correlated Particles |
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42 | (1) |
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3.3 Radar Backscattering from the Ionosphere |
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43 | (2) |
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3.3.1 Observations by Bowles |
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43 | (1) |
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3.3.2 Observations by Pineo, Kraft, and Briscoe |
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44 | (1) |
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3.4 Collective Phenomena in Electron-and-lon Plasmas |
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45 | (4) |
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3.4.1 Dielectric Response Function |
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46 | (1) |
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47 | (1) |
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48 | (1) |
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3.5 Plasma Critical Opalescence |
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49 | (1) |
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3.6 Observation of Plasma Waves in Warm Dense Matter |
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50 | (3) |
| 4 Charged Particles or X-Rays Injected in Plasmas |
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53 | (18) |
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4.1 Characteristic Energy-Loss Spectroscopy |
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53 | (2) |
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55 | (3) |
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4.2.1 Plasmon Dispersion Coefficient |
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56 | (1) |
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57 | (1) |
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4.2.3 Theoretical Estimates |
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57 | (1) |
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4.3 Stopping Power and Wake Potential |
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58 | (4) |
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4.3.1 Induced Density Variations |
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59 | (2) |
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61 | (1) |
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61 | (1) |
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4.4 Ion Clusters Injected in Metals |
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62 | (1) |
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4.4.1 Injection into Thin Foils |
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62 | (1) |
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4.4.2 Advanced Wakefield Experiment |
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62 | (1) |
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4.5 X-Ray Crystallography |
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63 | (1) |
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4.6 Observation of Laue Patterns in Coulomb Glasses |
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63 | (6) |
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63 | (1) |
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4.6.2 Layered Structures at Various Quenches |
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64 | (2) |
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4.6.3 Laue Patterns for Glasses |
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66 | (3) |
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4.7 X-Ray Thomson Scattering and Time-Resolved XANES Diagnostic with High Energy Density Plasmas |
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69 | (2) |
| 5 Thermodynamics of Classical OCP and Quantum Electron Liquids |
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71 | (8) |
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5.1 Radial Distribution Functions and Correlation Energies |
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71 | (2) |
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5.1.1 Correlation Energy in the RPA |
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72 | (1) |
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5.1.2 Multi-Particle Correlation |
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73 | (1) |
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5.2 OCP Thermodynamic Functions |
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73 | (2) |
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74 | (1) |
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74 | (1) |
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74 | (1) |
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5.2.4 Wigner Crystallization |
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75 | (1) |
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5.3 Equations of State for Quantum Electron Liquids |
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75 | (3) |
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5.3.1 Ideal-Gas Contributions |
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75 | (1) |
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5.3.2 Exchange-Correlation Contributions |
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76 | (1) |
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5.3.3 Origin of Cohesive Forces |
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77 | (1) |
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5.4 Freezing and Ferromagnetic Transitions in Electron Liquid |
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78 | (1) |
| 6 Phase Diagrams of Hydrogen |
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79 | (12) |
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79 | (3) |
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80 | (1) |
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6.1.2 Pressure Ionization |
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80 | (1) |
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6.1.3 Laboratory Realization of Metallic Hydrogen |
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81 | (1) |
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6.1.4 Metallic Hydrogen in Astrophysical Objects |
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81 | (1) |
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81 | (1) |
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6.2 Equations of State for Hydrogen |
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82 | (2) |
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82 | (1) |
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83 | (1) |
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6.3 Phases of Hydrogen Matter |
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84 | (2) |
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6.3.1 Equations of State for the Fluid Phase |
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84 | (1) |
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6.3.2 Short-Range Screening by Electrons |
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85 | (1) |
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6.4 Coexistence Curves and Thermodynamics |
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86 | (2) |
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6.4.1 Phase Diagram and Coexistence Curves |
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87 | (1) |
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6.4.2 Thermodynamics across the MI Transitions |
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88 | (1) |
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6.5 Metal-Insulator Transitions |
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88 | (3) |
| 7 Transport Processes |
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91 | (12) |
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7.1 Electric and Thermal Resistivity |
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91 | (4) |
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7.1.1 Parameterized Formulae |
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92 | (1) |
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7.1.2 Generalized Coulomb Logarithms |
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92 | (1) |
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7.1.3 Screened Potentials |
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93 | (1) |
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94 | (1) |
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7.2 Ultrahigh-Pressure Metal Physics Experiments |
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95 | (4) |
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7.2.1 Interpreting the Experiments |
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95 | (1) |
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7.2.2 Compression and Metallization |
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96 | (1) |
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97 | (1) |
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7.2.4 The First-Order MI Transitions Justified |
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98 | (1) |
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7.3 Jovian Interiors and Excess Infrared Luminosity |
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99 | (4) |
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7.3.1 Structure of Jupiter |
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100 | (1) |
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7.3.2 Origins of the Excess Luminosity |
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101 | (1) |
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7.3.3 The MI Transitions and Luminosity |
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101 | (2) |
| 8 Stellar and Planetary Magnetism |
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103 | (6) |
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8.1 Jovian Magnetic Activities |
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103 | (2) |
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8.1.1 Metallic Hydrogen in Jupiter |
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103 | (1) |
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8.1.2 Magnetic Reynolds Number |
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104 | (1) |
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8.1.3 Magnetic Activities |
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104 | (1) |
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8.2 Ferromagnetic and Freezing Transitions in Metallic Hydrogen |
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105 | (1) |
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8.2.1 Equations of State with Spin Polarization |
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105 | (1) |
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8.2.2 Phase Diagrams with Spin Polarization |
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105 | (1) |
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8.3 Nuclear Ferromagnetism with Magnetic White Dwarfs |
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105 | (4) |
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8.3.1 Hydrogen with Magnetic White Dwarfs |
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105 | (2) |
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8.3.2 Origin of Strong Magnetization |
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107 | (1) |
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8.3.3 Field Amplification by Stellar Rotation |
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107 | (2) |
| 9 Nuclear Fusion in Metallic Hydrogen |
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109 | (16) |
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9.1 Thermonuclear and Pycnonuclear Reactions |
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110 | (7) |
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9.1.1 Scattering by the Coulomb Potential |
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110 | (1) |
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9.1.2 Probability of Penetration-Bare Coulomb Repulsion |
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111 | (1) |
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9.1.3 Cross-Section Factor |
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112 | (1) |
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9.1.4 Probability of Penetration-Screened Coulomb Repulsion |
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113 | (2) |
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9.1.5 Rates of Thermonuclear Reactions |
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115 | (1) |
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9.1.6 Rates of Pycnonuclear Reactions |
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116 | (1) |
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9.2 Solar Processes and Inertial-Confinement Fusion |
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117 | (1) |
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9.2.1 Inertial-Confinement Fusion |
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117 | (1) |
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117 | (1) |
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9.3 Enhancement of Nuclear Reactions in Metallic Fluids |
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118 | (3) |
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9.3.1 Enhancement Due to Coulomb Correlation |
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118 | (1) |
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119 | (2) |
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9.3.3 Rates of Nuclear Reactions in Dense Plasmas |
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121 | (1) |
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9.4 "Supernova on the Earth" |
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121 | (4) |
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9.4.1 Adiabatic Compression |
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121 | (1) |
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122 | (1) |
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9.4.3 Feasibility Experiment |
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122 | (1) |
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9.4.4 Power-Production Experiment |
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123 | (2) |
| 10 Phase Diagrams of Nuclear Matter |
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125 | (4) |
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10.1 Deconfinement of Quarks from Nucleons |
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125 | (1) |
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10.1.1 Relativistic Heavy Ion Collider Experiments |
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125 | (1) |
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10.1.2 The Oldest Phase of Matter |
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126 | (1) |
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10.2 Phases of Nuclear Matter |
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126 | (1) |
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126 | (1) |
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10.2.2 Deconfinement versus Metallization |
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126 | (1) |
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10.3 Structure of a Neutron Star |
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127 | (2) |
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10.3.1 Three-Part Structure |
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127 | (1) |
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10.3.2 Non-Radial Oscillations |
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128 | (1) |
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128 | (1) |
| 11 Plasma Phenomena around Neutron Stars and Black Holes |
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129 | (26) |
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130 | (2) |
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130 | (1) |
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11.1.2 Characteristic Features |
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130 | (2) |
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11.1.3 Crab and Vela Pulsars |
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132 | (1) |
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11.2 Rotating Magnetic Neutron Stars |
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132 | (8) |
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11.2.1 What Are the Pulsars? |
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132 | (1) |
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11.2.2 Pulsar Magnetic Field |
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133 | (1) |
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11.2.3 Spinning Down of Pulsars by Magnetic Dipole Radiation |
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134 | (1) |
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11.2.4 Spinning Down of Crab Pulsar and the Crab Nebula Activities |
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135 | (1) |
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11.2.5 Constructing the Radio Beams |
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136 | (2) |
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11.2.6 Creating the Plasmas |
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138 | (1) |
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11.2.7 A Pulsar Emission Mechanism |
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139 | (1) |
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140 | (4) |
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11.3.1 Close Binary Systems |
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140 | (1) |
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141 | (2) |
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11.3.3 Cyclotron Resonance Scattering Feature |
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143 | (1) |
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11.3.4 Accretion Model of X-ray Pulsars |
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143 | (1) |
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11.4 Black Hole Model of Cygnus X-1 |
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144 | (6) |
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11.4.1 Energy Spectra and Variability of X-ray Emission |
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144 | (1) |
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145 | (2) |
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11.4.3 Plasma Accretion to a Black Hole |
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147 | (1) |
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11.4.4 A Black Hole Model of Cyg X-1 Observation |
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148 | (2) |
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11.5 Stellar-Mass Black Holes and Supermassive Black Holes |
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150 | (5) |
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150 | (1) |
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11.5.2 Supermassive Black Hole in the Galaxy |
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151 | (1) |
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11.5.3 Burst of γ-ray from a Supermassive Black Hole Breaking Apart and Swallowing a Nearby Star |
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152 | (3) |
| 12 Dawn of Gravitational-Wave Astronomy |
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155 | (8) |
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12.1 Hulse-Taylor Binary Pulsars |
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156 | (1) |
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12.2 GW150915: The First Signals for LIGO |
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156 | (3) |
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12.2.1 Information Extracted from the Signals |
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157 | (2) |
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12.2.2 Items to Be Ensured with the Signals |
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159 | (1) |
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12.3 Observation of Colliding Binary Neutron Stars |
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159 | (4) |
| Appendix I: The 6-Functions |
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163 | (2) |
| Appendix II: Fourier Analyses and Application |
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165 | (4) |
| Appendix III: The Fluctuation-Dissipation Theorem |
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169 | (4) |
| Appendix IV: Fermi Integrals |
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173 | (2) |
| Appendix V: Functional Derivatives |
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175 | (2) |
| References |
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177 | (8) |
| Index |
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185 | |